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Mostrando ítems 21-30 de 202
An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
(De Gruyter, 2015-08)
We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann ...
A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
(Pergamon-Elsevier Science Ltd, 2017-08)
In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite ...
Large solutions to elliptic equations involving fractional Laplacian
(Elsevier, 2015)
The purpose of this paper is to study boundary blow up solutions for semi-linear fractional elliptic equations of the form
{(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = f(x), x is an element of Omega, ...
Improvement of Besov regularity for solutions of the fractional Laplacian
(Springer, 2014-08)
We prove a mean value formula for weak solutions of div(|y| agradu) = 0 in Rn+1 = {(x, y) : x ∈ Rn, y ∈ R}, −1 < a < 1, and balls centered at points of the form (x, 0). We obtain an explicit nonlocal kernel for the mean ...
Weighted inequalities for the fractional Laplacian and the existence of extremals
(World Scientific, 2019-05)
In this paper, we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of ...
An optimization problem for the first eigenvalue of the p-fractional Laplacian
(Wiley VCH Verlag, 2018-03)
In this paper we analyze an eigenvalue problem related to the nonlocal p‐Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of ...
Lotka-Volterra models with fractional diffusion
(Cambridge Univ Press, 2017-06-01)
We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method ...
Local behavior and existence of solutions for problems involving fractional (p,q)- Laplacian
(Universidade Federal de Minas GeraisBrasilPrograma de Pós-Graduação em MatemáticaUFMG, 2019-08-23)
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian
(American Mathematical Society, 2017-03)
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization of solutions as a product of a certain ...